Practice PnG Driving Profile

Normalizing Practice Cycles


Mileage Results

- 87.8 MPG (average) - PnG mileage, 25-43 mph
- 79.0 MPG (average) - Cruise control mileage, 33 mph
For a 9 MPG fuel savings, we have to vary the vehicle speed by 18 mph, which
impacts the driving of any following vehicle and driver.
Driving Profiles


Energy Per Meter, 15-25 mph
The Graham miniscanner has the ability to record the engine shaft power as
well as the traction battery charge and discharge. Since these
are the only sources of motive energy, it provides the fine
resolution needed to measure the vehicle energy demands when dealing
with MPG values beyond the vehicle 99.9 indicator:

Measuring the engine and battery energy avoids trying to calculate
subtle engine thermodynamic effects (aka., BSFC and cycle times) over
the very long intervals needed to draw reasonable conclusions.
This result is more consistent with the expected value from pulse and
glide.
Analysis
Inertial energy is a conservative function. This means that in the
absence of drag, potential and kinetic energy transfer with nearly
100% efficiency ... this is how planets and moons remain in orbit for
billions of years.
Rolling drag can be treated as a constant for ordinary speeds
above 0 mph. There are some non-linear effects associated with
transaxle lubricant stiring and tire deformations at high
speeds, 80 mph, but these are minor at these speeds.
If rolling drag is the only effect, the energy needed would
vary with the vehicle speed so slow or fast wouldn't matter.
Aerodynamic drag is the primary source of energy loss and
varies by the square of the velocity. As pointed out in the
Lee, Nelson and Lohse-Busch report "Vehicle Inertia Impact
on Fuel Consumption of Conventional and Hybrid Electric
Vehicles Using Acceleration and Coast Driving Strategy"
(SAE 2009-01-1322):
. . . In short acceleration times (higher acceleration),
the efficiency of kinetic energy stored in vehicle
inertia increases as vehicle speed increases.
However, it is opposite in longer acceleration time
because the aerodynmaic force is increased proportional to
the square of vehicle speed, so this term become more
dominant at higher speed ranges. In addition, the
vehicle is traveling at a higher speed for a long time
in the longer acceleration time case, thus the fuel
consumption increment of the cruising case is higher than
that of the PnG case. The difference of fuel energy
between PnG and Cruising cases (...) becomes larger at
higher speed and longer acceleration cases.
"Figure 5. Efficiency of Kinetic Energy Stored in Vehicle
Inertia during Acceleration in PnG Drive Cycles" shows that
at 30 seconds acceleration versus 10 seconds, the energy
saved for 20-30, 30-40 and 40-50 all reach about 34% versus
40% for 40-50 and 30% for 20-30 (pp. 4)
Depending upon the average speed of any given pulse and glide protocol,
a significant portion will be spent at speeds above the equivalent
steady-speed in a V**2 drag region. The rest of the time will be
spent under the V**2 region. We can evaulate how much energy is
lost by integrating the drag forces above and below the equivalent,
steady state speed over the distance of a single cycle. Force times
distance is the energy required to sustain the object in either
protocol (insert integration formula here. RJW)
The Lee, Nelson and Loshe-Busch paper suggests that the acceleration should be proportional
to the vehicle speed that the optimum acceleration profile should
increase as vehicle speed. However, engine BSFC has not been included
in this study to fully model vehicle performance (or perhaps not fully
explained.)
We know typical Otto engines don't reach peak BSFC until their
throttle is full open and even then varies in a non-linear fashion
with engine rpm. In contrast, the Prius BSFC is nearly linear over a
wider range. Any optimum Pules and Glide model needs to include these factors.
Safety and Effectiveness in Traffic
I agree that Pulse and Glide needs to be limited to closed tracks or
very low traffic roads. The speed differences required for pulse and glide
means as the number of vehicles increase, the probability of having to brake
to maintain vehicle safety distances increases.
This reduces
the effectiveness of Pulse and Glide and worse, reduces
road capacity to sustain traffic. It is a
technique best practiced solo.
Even with cooperation, as the number of vehicles increase, the 'tail end
Charlie' driver will be reacting to the lead vehicles versus
a disciplined Pulse and Glide. The lead driver has a great ride but
the following vehicles and drivers are subject to less than optimum
performance. Pulse and glide does not scale well with as traffic density
increases.